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Finding the Third Proportional to 87,127 and 188,879

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Solution

The third proportional to 87,127 and 188,879 is: 409,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,127 : 188,879 = 188,879 : x
  2. Step 2: Convert to fraction form
    87,127/188,879 = 188,879/x
  3. Step 3: Cross multiply
    87,127x = 188,879 × 188,879
  4. Step 4: Simplify right side
    87,127x = 35,675,276,641
  5. Step 5: Solve for x
    x = 35,675,276,641/87,127
  6. Step 6: Final answer
    x = 409,462.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.